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Transformations and Projections in Computer Graphics

Author: David Salomon

Publisher: Springer Science & Business Media

Published: 2007-01-21

Total Pages: 284

ISBN-13: 1846286204

This book introduces perspective, and discusses the mathematics of perspective in a detailed, yet accessible style. It also reviews nonlinear projections, including the fisheye, panorama, and map projections frequently used to enhance digital images. Topics and features include a complete and self-contained presentation of concepts, principles, and methods; a 12-page colour section, and numerous figures. This essential resource for computer professionals both within and outside the field of Computer Graphics is also suitable for graduates and advanced undergraduates in Computer Graphics and Computer-Aided Design. Key ideas are introduced, examined and illustrated by figures and examples, and reinforced through solved exercises.

Computer Graphics from Scratch

Author: Gabriel Gambetta

Publisher: No Starch Press

Published: 2021-05-13

Total Pages: 250

ISBN-13: 1718500769

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Computer Graphics from Scratch demystifies the algorithms used in modern graphics software and guides beginners through building photorealistic 3D renders. Computer graphics programming books are often math-heavy and intimidating for newcomers. Not this one. Computer Graphics from Scratch takes a simpler approach by keeping the math to a minimum and focusing on only one aspect of computer graphics, 3D rendering. You’ll build two complete, fully functional renderers: a raytracer, which simulates rays of light as they bounce off objects, and a rasterizer, which converts 3D models into 2D pixels. As you progress you’ll learn how to create realistic reflections and shadows, and how to render a scene from any point of view. Pseudocode examples throughout make it easy to write your renderers in any language, and links to live JavaScript demos of each algorithm invite you to explore further on your own. Learn how to: Use perspective projection to draw 3D objects on a 2D plane Simulate the way rays of light interact with surfaces Add mirror-like reflections and cast shadows to objects Render a scene from any camera position using clipping planes Use flat, Gouraud, and Phong shading to mimic real surface lighting Paint texture details onto basic shapes to create realistic-looking objects Whether you’re an aspiring graphics engineer or a novice programmer curious about how graphics algorithms work, Gabriel Gambetta’s simple, clear explanations will quickly put computer graphics concepts and rendering techniques within your reach. All you need is basic coding knowledge and high school math. Computer Graphics from Scratch will cover the rest.

Physically Based Rendering

Author: Matt Pharr

Publisher: Morgan Kaufmann

Published: 2010-06-28

Total Pages: 1201

ISBN-13: 0123750792

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This updated edition describes both the mathematical theory behind a modern photorealistic rendering system as well as its practical implementation. Through the ideas and software in this book, designers will learn to design and employ a full-featured rendering system for creating stunning imagery. Includes a companion site complete with source code for the rendering system described in the book, with support for Windows, OS X, and Linux.

Computer Graphics

Author: Neeta Nain

Publisher: Vikas Publishing House

Published:

Total Pages:

ISBN-13: 9325972611

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This book adopts a conceptual approach to computer graphics, with emphasis on mathematical concepts and their applications. It introduces an abstract paradigm that relates the mathematical concepts with computer graphic techniques and implementation methods. This model is intended to help the reader understand the mathematical concepts and their practical use. However, mathematical complexity has not been allowed to dominate. The haul mark of the book is its profuse solved examples which aid in the understanding of mathematical concepts.The text is supplemented with introduction to various graphics standards, animation, multimedia techniques and fractals. These topics are of immense use in each of the three visual disciplines: modeling transformations, projections and multi-view geometry for computer vision. Geometry of lines, vectors and planes is essential for any geometric computation problem, light and illumination for image-based rendering, and hidden surface removal. Almost every chapter has the working source code to illustrate the concepts, which could be written and used as small programs for better understanding of the topics. A concise appendix of open source OpenGL is also included to showcase programming concepts of computer graphics and visualization.The text is completely platform-independent and the only prerequisite is the knowledge of coordinate geometry and basic algebra. It will be useful both as a text and reference, thus it can easily be used by novices and experienced practitioners alike.

Computer Graphics and Geometric Modeling

Author: David Salomon

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 862

ISBN-13: 1461215048

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A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.

3D Computer Graphics

Author: Samuel R. Buss

Publisher: Cambridge University Press

Published: 2003-05-19

Total Pages: 397

ISBN-13: 1139440381

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This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.

Mathematical Elements for Computer Graphics

Author: David F. Rogers

Publisher: McGraw-Hill Science, Engineering & Mathematics

Published: 1990

Total Pages: 648

ISBN-13:

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This text is ideal for junior-, senior-, and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science. It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required.

Introduction to Computer Graphics

Author: Frank Klawonn

Publisher: Springer Science & Business Media

Published: 2008-02-07

Total Pages: 296

ISBN-13: 1846288487

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This book provides an introduction to the most important basic concepts of computer graphics. It couples the technical background and theory immediately with practical examples and applications. The reader can follow up the theory and then literally see the theory at work in numerous example programs. With only elementary knowledge of the programming language Java, the reader will be able to create his or her own images and animations immediately using Java 2D and Java 3D. A website for this book includes programs with source code, exercises with solutions and slides as teaching material.

Mathematical and Computer Programming Techniques for Computer Graphics

Author: Peter Comninos

Publisher: Springer Science & Business Media

Published: 2010-04-06

Total Pages: 556

ISBN-13: 1846282926

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Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics Uses lots of code examples, encouraging the reader to explore and experiment with data and computer programs (in the C programming language)

Geometry for Computer Graphics

Author: John Vince

Publisher: Springer

Published: 2006-01-16

Total Pages: 342

ISBN-13: 1846281164

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A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.